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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 163170fx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163170.q1 | 163170fx1 | \([1, -1, 0, 4695, 175825]\) | \(10503459/18500\) | \(-20156626696500\) | \([]\) | \(387072\) | \(1.2377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163170fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163170fx do not have complex multiplication.Modular form 163170.2.a.fx
sage: E.q_eigenform(10)